Bifurcation analysis of a linear Hamiltonian system with two kinds of impulsive control

被引：2
作者：
Ma, Zhongjun [1 ]
Wang, Yi [2 ]
Jiang, Guirong [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
[2] Zhejiang Univ Finance & Econ, Hangzhou 310012, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 70卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian system; Impulsive control; Periodic solution; Neimark; Sacker bifurcation; MODEL; SYNCHRONIZATION;
D O I：
10.1007/s11071-012-0623-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the dynamical behavior of a linear Hamiltonian system under two kinds of impulsive control is discussed by means of both theoretical and numerical ways. The existence and stability of the periodic solution are investigated. Moreover, the conditions of existence for a Neimark-Sacker bifurcation are derived by using a discrete map. Numerical results for phase portraits, periodic solutions, and bifurcation diagrams are in good agreement with the theoretical analysis.
引用
收藏
页码：2367 / 2374
页数：8
相关论文
共 50 条
[21]   Fuzzy Coefficient of Impulsive Intensity in a Nonlinear Impulsive Control System [J].
Onasanya, Babatunde Oluwaseun ;
Wen, Shiping ;
Feng, Yuming ;
Zhang, Wei ;
Xiong, Jiong .
NEURAL PROCESSING LETTERS, 2021, 53 (06) :4639-4657
[22]   Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control [J].
Wang, Yuangan .
JOURNAL OF APPLIED MATHEMATICS, 2012,
[23]   Impulsive control of inventory dynamical system [J].
Chi Dong-xuan ;
Zhao Qiang ;
Zhao Lin-lin ;
Cheng Xiao-jing .
Proceedings of the 2007 Chinese Control and Decision Conference, 2007, :380-382
[24]   Impulsive Control of a Chaotic Financial System [J].
Wang, Yong .
PROCEEDINGS OF THE 2017 4TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS AND COMPUTER (MACMC 2017), 2017, 150 :548-552
[25]   Complex dynamics and bifurcation analysis of host-parasitoid models with impulsive control strategy [J].
Yang, Jin ;
Tang, Sanyi ;
Tan, Yuanshun .
CHAOS SOLITONS & FRACTALS, 2016, 91 :522-532
[26]   Asymptotically linear Hamiltonian system [J].
Jung, Tacksun ;
Choi, Q-Heung .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (03) :1417-1424
[27]   BIFURCATION OF A MUTUALISTIC SYSTEM WITH VARIABLE COEFFICIENTS AND IMPULSIVE EFFECTS [J].
Pei, Yongzhen ;
Yang, Yong ;
Li, Changguo .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2009, 2 (03) :363-375
[28]   Approximate synchronization of two non-linear systems via impulsive control [J].
Wang, J. ;
Tang, W. S. ;
Zhang, J. X. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2012, 226 (I3) :338-347
[29]   Bifurcation and Control for a Predator-Prey System With Two Delays [J].
Jiang, Xiaowei ;
Chen, Xiangyong ;
Huang, Tingwen ;
Yan, Huaicheng .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (01) :376-380
[30]   Dynamical analysis and impulsive control of a new hyperchaotic system [J].
Li, YX ;
Liu, XZ ;
Zhang, HT .
MATHEMATICAL AND COMPUTER MODELLING, 2005, 42 (11-12) :1359-1374
12345